粒子的统计物理学

作者: [美] 卡达著

出版社: 世界图书出版公司

出版时间: 2010-04

版次: 1

ISBN: 9787510005657

定价: 55.00

装帧: 平装

开本: 16开

纸张: 胶版纸

页数: 320页

分类: 自然科学

108人买过

　　统计物理是利用物质基本组成成份来研究物质的整体性质，它在量子力学发展中发挥了重要的作用。本书根据作者20多年来在麻省理工学院讲授粒子统计物理的课程讲义编写而成，主要讲解统计物理学的基本概念和处理实际问题的方法。在讲述完热力学基础后，作者专门讲解了常用数学工具如概率论和中心极限定理。本书内容还包括相互作用粒子，vanderWaals方程及其推导，经典和量子统计力学以及信息论中的相关问题。本书附有习题，并在全书结尾处给出部分答案。阅读本书时可以参考作者的另外一本专著《场的统计物理》，主要介绍利用重整化群等非平均场方法研究标度律和临界现象。目次：热力学；概率论；气体动力学理论；经典统计力学；相互作用的粒子；量子统计力学；理想量子气体；部分习题解答；索引。　　MEHRANKARDARisProfessorofPhysicsatMIT,wherehehastaughtandresearchedinthefieldofstatisticalphysicsforthepast20years.HereceivedhisB.A.atCambridge,andgainedhisPh.D.atMIT.ProfessorKardarhasheldresearchandvisitingpositionsasajuniorFellowatHarvard,GuggenheimFellowatOxford,UCSB,andatBerkeleyasaMillerFellow. Preface
1Thermodynamics
1.1Introduction
1.2Thezerothlaw
1.3Thefirstlaw
1.4Thesecondlaw
1.5Carnotengines
1.6Entropy
1.7Approachtoequilibriumandthermodynamicpotentials
1.8Usefulmathematicalresults
1.9Stabilityconditions
1.10Thethirdlaw
Problems
2Probability
2.1Generaldefinitions
2.2Onerandomvariable
2.3Someimportantprobabilitydistributions
2.4Manyrandomvariables
2.5Sumsofrandomvariablesandthecentrallimittheorem
2.6Rulesforlargenumbers
2.7Information,entropy,andestimation
Problems
3Kinetictheoryofgases
3.1Generaldefinitions
3.2Liouvillestheorem
3.3TheBogoliubov-Born--Green-Kirkwood-Yvonhierarchy
3.4TheBoltzmannequation
3.5TheH-theoremandirreversibility
3.6Equilibriumproperties
3.7Conservationlaws
3.8Zeroth-orderhydrodynamics
3.9First-orderhydrodynamics
Problems
4Classicalstatisticalmechanics
4.1Generaldefinitions
4.2Themicrocanonicalensemble
4.3Two-levelsystems
4.4Theidealgas
4.5MixingentropyandtheGibbsparadox
4.6Thecanonicalensemble
4.7Canonicalexamples
4.8TheGibbscanonicalensemble
4.9Thegrandcanonicalensemble
Problems
5Intenmetingparticles
5.1Thecumulantexpansion
5.2Theclusterexpansion
5.3ThesecondvirialcoefficientandvanderWaalsequation
5.4BreakdownofthevanderWaalsequation
5.5Mean-fieldtheoryofcondensation
5.6Variationalmethods
5.7Correspondingstates
5.8Criticalpointbehavior
Problems
6Quantumstatisticalmechanics
6.1Dilutepolyatomicgases
6.2Vibrationsofasolid
6.3Black-bodyradiation
6.4Quantummicrostates
6.5Quantummacrostates
Problems
7Idealquantumgases
7.1Hilbertspaceofidenticalparticles
7.2Canonicalformulation
7.3Grandcanonicalformulation
7.4Non-relativisticgas
7.5Thedegeneratefermigas
7.6Thedegeneratebosegas
7.7SuperfiuidHen
Problems
Solutionstoselectedproblems
Chapter1
Chapter2
Chapter3
Chapter4
Chapter5
Chapter6
Chapter7
Index
内容简介:
　　统计物理是利用物质基本组成成份来研究物质的整体性质，它在量子力学发展中发挥了重要的作用。本书根据作者20多年来在麻省理工学院讲授粒子统计物理的课程讲义编写而成，主要讲解统计物理学的基本概念和处理实际问题的方法。在讲述完热力学基础后，作者专门讲解了常用数学工具如概率论和中心极限定理。本书内容还包括相互作用粒子，vanderWaals方程及其推导，经典和量子统计力学以及信息论中的相关问题。本书附有习题，并在全书结尾处给出部分答案。阅读本书时可以参考作者的另外一本专著《场的统计物理》，主要介绍利用重整化群等非平均场方法研究标度律和临界现象。目次：热力学；概率论；气体动力学理论；经典统计力学；相互作用的粒子；量子统计力学；理想量子气体；部分习题解答；索引。
作者简介:
　　MEHRANKARDARisProfessorofPhysicsatMIT,wherehehastaughtandresearchedinthefieldofstatisticalphysicsforthepast20years.HereceivedhisB.A.atCambridge,andgainedhisPh.D.atMIT.ProfessorKardarhasheldresearchandvisitingpositionsasajuniorFellowatHarvard,GuggenheimFellowatOxford,UCSB,andatBerkeleyasaMillerFellow.
目录:
Preface
1Thermodynamics
1.1Introduction
1.2Thezerothlaw
1.3Thefirstlaw
1.4Thesecondlaw
1.5Carnotengines
1.6Entropy
1.7Approachtoequilibriumandthermodynamicpotentials
1.8Usefulmathematicalresults
1.9Stabilityconditions
1.10Thethirdlaw
Problems
2Probability
2.1Generaldefinitions
2.2Onerandomvariable
2.3Someimportantprobabilitydistributions
2.4Manyrandomvariables
2.5Sumsofrandomvariablesandthecentrallimittheorem
2.6Rulesforlargenumbers
2.7Information,entropy,andestimation
Problems
3Kinetictheoryofgases
3.1Generaldefinitions
3.2Liouvillestheorem
3.3TheBogoliubov-Born--Green-Kirkwood-Yvonhierarchy
3.4TheBoltzmannequation
3.5TheH-theoremandirreversibility
3.6Equilibriumproperties
3.7Conservationlaws
3.8Zeroth-orderhydrodynamics
3.9First-orderhydrodynamics
Problems
4Classicalstatisticalmechanics
4.1Generaldefinitions
4.2Themicrocanonicalensemble
4.3Two-levelsystems
4.4Theidealgas
4.5MixingentropyandtheGibbsparadox
4.6Thecanonicalensemble
4.7Canonicalexamples
4.8TheGibbscanonicalensemble
4.9Thegrandcanonicalensemble
Problems
5Intenmetingparticles
5.1Thecumulantexpansion
5.2Theclusterexpansion
5.3ThesecondvirialcoefficientandvanderWaalsequation
5.4BreakdownofthevanderWaalsequation
5.5Mean-fieldtheoryofcondensation
5.6Variationalmethods
5.7Correspondingstates
5.8Criticalpointbehavior
Problems
6Quantumstatisticalmechanics
6.1Dilutepolyatomicgases
6.2Vibrationsofasolid
6.3Black-bodyradiation
6.4Quantummicrostates
6.5Quantummacrostates
Problems
7Idealquantumgases
7.1Hilbertspaceofidenticalparticles
7.2Canonicalformulation
7.3Grandcanonicalformulation
7.4Non-relativisticgas
7.5Thedegeneratefermigas
7.6Thedegeneratebosegas
7.7SuperfiuidHen
Problems
Solutionstoselectedproblems
Chapter1
Chapter2
Chapter3
Chapter4
Chapter5
Chapter6
Chapter7
Index

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粒子的统计物理学

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